{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Analyze Shakespeare and Company Project books dataset to estimate missing books\n",
    "\n",
    "This notebook provides summary information about the book data, then uses Folgert Karsdorp and Mike Kestemont's python library [Copia](https://copia.readthedocs.io/en/latest/intro.html) to calculate abundance and diversity to estimate how much of the books the dataset cover; we then compare these calculations to estimates based on a handwritten tally from the Sylvia Beach archives from 1931.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "\n",
    "# add project root to path so we can import utility methods\n",
    "import sys\n",
    "sys.path.append('..')\n",
    "\n",
    "from utils.missing_data_processing import get_preprocessed_data\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary information about the book data \n",
    "\n",
    "- how many books total?\n",
    "- how many books were borrowed at least once?\n",
    "- how many books are 'uncertain'\n",
    "\n",
    "*Note:* books that could not be positively identified by the Project team were flagged as uncertain; we exclude these from our analysis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "x3Uq6kJ1Wgix"
   },
   "outputs": [],
   "source": [
    "# load books and events datasets\n",
    "data = get_preprocessed_data(\"books\", \"events\") \n",
    "books_df = data[\"books\"]\n",
    "events_df = data[\"events\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "ihCBva7oWjUo",
    "outputId": "3f2c035e-b939-4bea-f7f2-0c1d6dfee075"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6,020 total books\n",
      "5,683 borrowed books\n",
      "475 uncertain books\n",
      "5,208 books that are not uncertain (i.e., identified titles)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "total_books = books_df.shape[0]\n",
    "\n",
    "# identify borrowed books by non-zero borrow count\n",
    "borrowed_books = books_df[books_df.borrow_count != 0]\n",
    "total_borrowed_books = borrowed_books.shape[0]\n",
    "\n",
    "# identify uncertain books by boolean flag\n",
    "uncertain_books = books_df[books_df.uncertain].shape[0]\n",
    "\n",
    "print(f\"\"\"{total_books:,} total books\n",
    "{total_borrowed_books:,} borrowed books\n",
    "{uncertain_books:,} uncertain books\n",
    "{total_borrowed_books - uncertain_books:,} books that are not uncertain (i.e., identified titles)\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 852
    },
    "id": "yHIeU3JjWw2i",
    "outputId": "d2598a1f-6258-4073-a16d-0bcd112b1af2"
   },
   "outputs": [
    {
     "data": {
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       "    }\n",
       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>title</th>\n",
       "      <th>author</th>\n",
       "      <th>year</th>\n",
       "      <th>format</th>\n",
       "      <th>borrow_count</th>\n",
       "      <th>circulation_years</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>malory-morte-darthur</td>\n",
       "      <td>Le Morte d'Arthur</td>\n",
       "      <td>Malory, Thomas</td>\n",
       "      <td>1485.0</td>\n",
       "      <td>Book</td>\n",
       "      <td>7</td>\n",
       "      <td>1930;1932;1937;1938;1939</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>more-utopia</td>\n",
       "      <td>Utopia</td>\n",
       "      <td>More, Thomas</td>\n",
       "      <td>1516.0</td>\n",
       "      <td>Book</td>\n",
       "      <td>2</td>\n",
       "      <td>1930;1950;1951</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>norton-gorboduc</td>\n",
       "      <td>Gorboduc</td>\n",
       "      <td>Norton, Thomas</td>\n",
       "      <td>1561.0</td>\n",
       "      <td>Book</td>\n",
       "      <td>1</td>\n",
       "      <td>1950</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>lyly-euphues-anatomy-wit</td>\n",
       "      <td>Euphues: The Anatomy of Wit</td>\n",
       "      <td>Lyly, John</td>\n",
       "      <td>1578.0</td>\n",
       "      <td>Book</td>\n",
       "      <td>1</td>\n",
       "      <td>1941</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>spenser-shepheards-calendar</td>\n",
       "      <td>The Shepheard's Calendar</td>\n",
       "      <td>Spenser, Edmund</td>\n",
       "      <td>1579.0</td>\n",
       "      <td>Book</td>\n",
       "      <td>1</td>\n",
       "      <td>1941</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                            id                        title           author  \\\n",
       "0         malory-morte-darthur            Le Morte d'Arthur   Malory, Thomas   \n",
       "1                  more-utopia                       Utopia     More, Thomas   \n",
       "2              norton-gorboduc                     Gorboduc   Norton, Thomas   \n",
       "3     lyly-euphues-anatomy-wit  Euphues: The Anatomy of Wit       Lyly, John   \n",
       "4  spenser-shepheards-calendar     The Shepheard's Calendar  Spenser, Edmund   \n",
       "\n",
       "     year format  borrow_count         circulation_years  \n",
       "0  1485.0   Book             7  1930;1932;1937;1938;1939  \n",
       "1  1516.0   Book             2            1930;1950;1951  \n",
       "2  1561.0   Book             1                      1950  \n",
       "3  1578.0   Book             1                      1941  \n",
       "4  1579.0   Book             1                      1941  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# brief view of book data; subset of columns only\n",
    "books_df[['id', 'title', 'author', 'year', 'format', 'borrow_count', 'circulation_years']].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Which titles were borrowed most?\n",
    "\n",
    "Periodicals, James Joyce, Dorothy Richardson"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 206
    },
    "id": "01bvvTX4W0C9",
    "outputId": "5957600d-6cb0-4fbc-b942-d019fb548dfd"
   },
   "outputs": [
    {
     "data": {
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       "        vertical-align: middle;\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>title</th>\n",
       "      <th>author</th>\n",
       "      <th>borrow_count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5905</th>\n",
       "      <td>The New Statesman and Nation</td>\n",
       "      <td>NaN</td>\n",
       "      <td>115</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5955</th>\n",
       "      <td>Time and Tide</td>\n",
       "      <td>NaN</td>\n",
       "      <td>109</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5906</th>\n",
       "      <td>The New Yorker</td>\n",
       "      <td>NaN</td>\n",
       "      <td>72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1305</th>\n",
       "      <td>A Portrait of the Artist as a Young Man</td>\n",
       "      <td>Joyce, James</td>\n",
       "      <td>56</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1200</th>\n",
       "      <td>Dubliners</td>\n",
       "      <td>Joyce, James</td>\n",
       "      <td>47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1271</th>\n",
       "      <td>Pointed Roofs (Pilgrimage 1)</td>\n",
       "      <td>Richardson, Dorothy M.</td>\n",
       "      <td>45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5854</th>\n",
       "      <td>The Criterion</td>\n",
       "      <td>NaN</td>\n",
       "      <td>42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1939</th>\n",
       "      <td>The Garden Party and Other Stories</td>\n",
       "      <td>Mansfield, Katherine</td>\n",
       "      <td>37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4440</th>\n",
       "      <td>Mr. Norris Changes Trains</td>\n",
       "      <td>Isherwood, Christopher</td>\n",
       "      <td>36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5583</th>\n",
       "      <td>Life and Letters</td>\n",
       "      <td>NaN</td>\n",
       "      <td>36</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                        title                  author  \\\n",
       "5905             The New Statesman and Nation                     NaN   \n",
       "5955                            Time and Tide                     NaN   \n",
       "5906                           The New Yorker                     NaN   \n",
       "1305  A Portrait of the Artist as a Young Man            Joyce, James   \n",
       "1200                                Dubliners            Joyce, James   \n",
       "1271             Pointed Roofs (Pilgrimage 1)  Richardson, Dorothy M.   \n",
       "5854                            The Criterion                     NaN   \n",
       "1939       The Garden Party and Other Stories    Mansfield, Katherine   \n",
       "4440                Mr. Norris Changes Trains  Isherwood, Christopher   \n",
       "5583                         Life and Letters                     NaN   \n",
       "\n",
       "      borrow_count  \n",
       "5905           115  \n",
       "5955           109  \n",
       "5906            72  \n",
       "1305            56  \n",
       "1200            47  \n",
       "1271            45  \n",
       "5854            42  \n",
       "1939            37  \n",
       "4440            36  \n",
       "5583            36  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# sort by most borrowed; drop unborrowed titles\n",
    "most_borrowed_books_df = borrowed_books.sort_values('borrow_count', ascending=False).reindex()\n",
    "most_borrowed_books_df[['title', 'author', 'borrow_count']].head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Which titles were borrowed least?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 206
    },
    "id": "6ZQk0Jetfbqp",
    "outputId": "3614da02-0348-4999-8e79-d5e28b05f644"
   },
   "outputs": [
    {
     "data": {
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       "\n",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>title</th>\n",
       "      <th>borrow_count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>3850</th>\n",
       "      <td>Once a Grand Duke</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3851</th>\n",
       "      <td>Oriental Assembly</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1433</th>\n",
       "      <td>Colors of Life: Poems and Songs and Sonnets</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3854</th>\n",
       "      <td>Peril at End House</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3855</th>\n",
       "      <td>Pigeon Irish</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1430</th>\n",
       "      <td>Ardours and Endurances</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3859</th>\n",
       "      <td>Satan's Circus and Other Stories</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1428</th>\n",
       "      <td>Adolphe</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3861</th>\n",
       "      <td>Save Me the Waltz</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6019</th>\n",
       "      <td>Zola</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                            title  borrow_count\n",
       "3850                            Once a Grand Duke             1\n",
       "3851                            Oriental Assembly             1\n",
       "1433  Colors of Life: Poems and Songs and Sonnets             1\n",
       "3854                           Peril at End House             1\n",
       "3855                                 Pigeon Irish             1\n",
       "1430                       Ardours and Endurances             1\n",
       "3859             Satan's Circus and Other Stories             1\n",
       "1428                                      Adolphe             1\n",
       "3861                            Save Me the Waltz             1\n",
       "6019                                         Zola             1"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "most_borrowed_books_df[['title', 'borrow_count']].tail(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2,031 books borrowed only once\n"
     ]
    }
   ],
   "source": [
    "single_borrows = borrowed_books[borrowed_books.borrow_count == 1].shape[0]\n",
    "print(f\"{single_borrows:,} books borrowed only once\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "FKvYKWJhWcrm",
    "outputId": "509a1b7e-f750-416e-a9c3-7ede17727b4d"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "21,059 borrowing events\n",
      "5,683 unique titles borrowed\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# filter event data to just the borrowing activity\n",
    "borrows = events_df[events_df.event_type == 'Borrow']\n",
    "\n",
    "# how many borrow events?\n",
    "total_borrows = borrows.shape[0]\n",
    "# how many unique items were borrowed?\n",
    "unique_titles = len(borrows.item_id.unique())\n",
    "print(f\"\"\"{total_borrows:,} borrowing events\n",
    "{unique_titles:,} unique titles borrowed\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 591
    },
    "id": "h_x5oSV7XaPg",
    "outputId": "06a0115c-d450-4055-b07f-a6cdac22ace1"
   },
   "outputs": [
    {
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       "  <thead>\n",
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       "      <th></th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1922</td>\n",
       "      <td>1922-08-23</td>\n",
       "      <td>Mr. Rhys</td>\n",
       "      <td>Typhoon</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1923</td>\n",
       "      <td>1923-11-07</td>\n",
       "      <td>Eyre de Lanux / Mrs. Pierre de Lanux</td>\n",
       "      <td>Night and Day</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1924</td>\n",
       "      <td>1924-10-22</td>\n",
       "      <td>Simone Téry</td>\n",
       "      <td>James Joyce</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1924</td>\n",
       "      <td>1924-10-22</td>\n",
       "      <td>Simone Téry</td>\n",
       "      <td>A Portrait of George Moore in a Study of His Work</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1926</td>\n",
       "      <td>1926-01-14</td>\n",
       "      <td>Ada (Hitchcock) MacLeish;Archibald MacLeish</td>\n",
       "      <td>Tents of Israel</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1929</td>\n",
       "      <td>1929-03-13</td>\n",
       "      <td>Elvira de Alvear</td>\n",
       "      <td>Later Poems</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>1931</td>\n",
       "      <td>1931-01-10</td>\n",
       "      <td>James Joyce</td>\n",
       "      <td>A History of Theatrical Art in Ancient and Mod...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>1931</td>\n",
       "      <td>1931-01-10</td>\n",
       "      <td>James Joyce</td>\n",
       "      <td>Poems of Walter Scott</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>1931</td>\n",
       "      <td>1931-01-10</td>\n",
       "      <td>James Joyce</td>\n",
       "      <td>The Horse-Stealers and Other Stories</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>1931</td>\n",
       "      <td>1931-01-10</td>\n",
       "      <td>James Joyce</td>\n",
       "      <td>The Crock of Gold</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   start_date    end_date                                 member_names  \\\n",
       "2        1922  1922-08-23                                     Mr. Rhys   \n",
       "8        1923  1923-11-07         Eyre de Lanux / Mrs. Pierre de Lanux   \n",
       "12       1924  1924-10-22                                  Simone Téry   \n",
       "13       1924  1924-10-22                                  Simone Téry   \n",
       "22       1926  1926-01-14  Ada (Hitchcock) MacLeish;Archibald MacLeish   \n",
       "38       1929  1929-03-13                             Elvira de Alvear   \n",
       "46       1931  1931-01-10                                  James Joyce   \n",
       "51       1931  1931-01-10                                  James Joyce   \n",
       "52       1931  1931-01-10                                  James Joyce   \n",
       "53       1931  1931-01-10                                  James Joyce   \n",
       "\n",
       "                                           item_title  \n",
       "2                                             Typhoon  \n",
       "8                                       Night and Day  \n",
       "12                                        James Joyce  \n",
       "13  A Portrait of George Moore in a Study of His Work  \n",
       "22                                    Tents of Israel  \n",
       "38                                        Later Poems  \n",
       "46  A History of Theatrical Art in Ancient and Mod...  \n",
       "51                              Poems of Walter Scott  \n",
       "52               The Horse-Stealers and Other Stories  \n",
       "53                                  The Crock of Gold  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# preview of event data, subset of fields only\n",
    "borrows[['start_date', 'end_date', 'member_names', 'item_title']].head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Use Copia to calculate abundance data for borrowed titles\n",
    "\n",
    "Analyze books with [Copia](https://copia.readthedocs.io/en/latest/intro.html), by Folgert Karsdorp and Mike Kestemont.\n",
    "\n",
    "We treat each borrow event as a \"species sighting\" or sampling of that title. Copia aggregrates and calculates how many time each item was sighted.\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "VrHTxoCt-iGG",
    "outputId": "2c51f5a8-f1cf-4226-b699-4add3884aa75"
   },
   "outputs": [],
   "source": [
    "from copia.utils import to_abundance\n",
    "from copia.stats import basic_stats\n",
    "\n",
    "abundance = to_abundance(borrows.item_id)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "2Sf-Ppsm-qTA",
    "outputId": "8e6b635a-53ad-4668-f5df-c203ff0648e4"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Statistics:\n",
      "\n",
      "F1: 2,031 (singletons)\n",
      "F2: 1,099 (doubletons)\n",
      "F3: 673\n",
      "F4: 468\n",
      "\n",
      "Seen: 5,683\n",
      "Total: 21,059\n"
     ]
    }
   ],
   "source": [
    "stats = basic_stats(abundance)\n",
    "\n",
    "print(f\"\"\"\n",
    "Statistics:\n",
    "\n",
    "F1: {stats['f1']:,} (singletons)\n",
    "F2: {stats['f2']:,} (doubletons)\n",
    "F3: {stats['f3']:,}\n",
    "F4: {stats['f4']:,}\n",
    "\n",
    "Seen: {stats['S']:,}\n",
    "Total: {stats['n']:,}\"\"\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot the abundance data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 539
    },
    "id": "oXu2YD3O-t5y",
    "outputId": "50843552-6dcc-44d3-adea-3ac6947bfc92"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Distribution of borrow events over books'}, xlabel='Books', ylabel='Borrow events'>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from copia.plot import abundance_counts\n",
    "\n",
    "# plot abundance counts with a trendline and with custom labels\n",
    "abundance_counts(abundance, trendline=True, xlabel=\"Books\", ylabel=\"Borrow events\",\n",
    "        title='Distribution of borrow events over books')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 278
    },
    "id": "i-ybNiuTabrM",
    "outputId": "0f1959c7-37d5-46a8-c66d-2d5f5de444cf"
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 592
    },
    "id": "byshAuJS-2oQ",
    "outputId": "d649bafb-42de-486f-9a62-1a709e4c01e4"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Distribution of borrow events over books'}, xlabel='Books', ylabel='Borrow events'>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from copia.plot import abundance_histogram\n",
    "\n",
    "abundance_counts(abundance, trendline=True, xlabel=\"Books\", ylabel=\"Borrow events\",\n",
    "        title='Distribution of borrow events over books')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 350
    },
    "id": "pVmiptqPg9Hf",
    "outputId": "fab2d454-2a20-4745-f1ee-57b854bb39a5"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# use subplot to combine the two charts\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(16,5))\n",
    "\n",
    "abundance_counts(abundance, trendline=True, xlabel=\"Books\", ylabel=\"Borrow events\",\n",
    "        title='Distribution of borrow events over books', ax=axes[0])\n",
    "\n",
    "abundance_histogram(abundance, trendline=True, xlabel='Books',\n",
    "        title='Borrowing histogram', ax=axes[1])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "id": "EqUyF7-Mhstc"
   },
   "outputs": [],
   "source": [
    "# save the figure\n",
    "fig.savefig(\"book_abundance_distribution_combined.png\", dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Use Copia to estimate diversity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "JHVc9SS8-9Lr",
    "outputId": "64f8df7f-8a13-4ff0-fa9b-155a66a28791"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "chao1 -> 7559.599237308967\n",
      "ichao1 -> 8005.677519255238\n",
      "ace -> 7434.960110335195\n",
      "jackknife -> 9437.0\n",
      "egghe_proot -> 8580.905546555845\n"
     ]
    }
   ],
   "source": [
    "from copia.richness import diversity\n",
    "import numpy as np\n",
    "\n",
    "\n",
    "for m in ('chao1', 'ichao1', 'ace', 'jackknife', 'egghe_proot'):\n",
    "    print(m, '->', diversity(abundance, method=m))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "id": "9w5f8m88_PzT"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "species richness: 5683\n",
      "population size: 21059\n"
     ]
    }
   ],
   "source": [
    "print('species richness:', diversity(abundance, method='empirical'))\n",
    "print('population size:', diversity(abundance, method='empirical', species=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "results = diversity(abundance, method='chao1', CI=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "diversity - chao1\n",
      "\n",
      "richness 7559.599237308967\n",
      "lci 7381.427880392671\n",
      "uci 7733.03044962332\n",
      "std 88.44382559116939\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f\"\"\"diversity - chao1\n",
    "\n",
    "richness {results['richness']}\n",
    "lci {results['lci']}\n",
    "uci {results['uci']}\n",
    "std {results['std']}\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "id": "m9v_tOOJ_cfz"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "diversity - jackknife\n",
      "\n",
      "richness 9437.0\n",
      "lci 8858.727581202922\n",
      "uci 10015.272418797078\n",
      "\n"
     ]
    }
   ],
   "source": [
    "results = diversity(abundance, method='jackknife', CI=True)\n",
    "print(f\"\"\"diversity - jackknife\n",
    "\n",
    "richness {results['richness']}\n",
    "lci {results['lci']}\n",
    "uci {results['uci']}\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "id": "j7TenRLO_hDk"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Empirical size: 21059\n",
      "Unbiased estimate: 229206.36414736416\n"
     ]
    }
   ],
   "source": [
    "print('Empirical size:', diversity(abundance, method='empirical', species=False))\n",
    "print('Unbiased estimate:', diversity(abundance, method='minsample'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "id": "QRas3ne-IP3I"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.6349744593644573 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 1.2551226676805527 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.43217108838871354 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 1.580045695292938 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.8568833445970085 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.8646078281235532 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.4863485628957278 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.16705254871340003 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.2488106097880518 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n"
     ]
    }
   ],
   "source": [
    "%%capture\n",
    "results = diversity(abundance, method='minsample', CI=True, n_iter=10)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "diversity - minsample\n",
      "\n",
      "richness 229206.36414736416\n",
      "lci 215654.04173504174\n",
      "uci 238383.30640180642\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f\"\"\"diversity - minsample\n",
    "\n",
    "richness {results['richness']}\n",
    "lci {results['lci']}\n",
    "uci {results['uci']}\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mHNQ0jwN_57f"
   },
   "source": [
    "*NOTE:* We don't calculate species accumulation because it is too slow with our data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "SfpeyI6RZqwr"
   },
   "source": [
    "## Estimate diversity of books by unique borrowers\n",
    "\n",
    "The first estimates were based on pure borrow count; what if we look at number of unique borrowers instead?\n",
    "\n",
    "This would collapse repeat borrows by the same library member, and would consolidate different events that were part of the same multi-volume work."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "id": "zgSiCprNWgaA"
   },
   "outputs": [],
   "source": [
    "# get unique book/person combination\n",
    "uniq_borrows = borrows[['member_uris', 'item_id']].drop_duplicates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "id": "RXayCEy1WtY4"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>item_id</th>\n",
       "      <th>borrower_count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2717</th>\n",
       "      <td>joyce-portrait-artist-young</td>\n",
       "      <td>50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2710</th>\n",
       "      <td>joyce-dubliners</td>\n",
       "      <td>45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4209</th>\n",
       "      <td>richardson-pointed-roofs</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3294</th>\n",
       "      <td>mansfield-garden-party-stories</td>\n",
       "      <td>34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2570</th>\n",
       "      <td>isherwood-mr-norris-changes</td>\n",
       "      <td>33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1769</th>\n",
       "      <td>forster-passage-india</td>\n",
       "      <td>33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3292</th>\n",
       "      <td>mansfield-bliss-short-stories</td>\n",
       "      <td>31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5582</th>\n",
       "      <td>woolf-mrs-dalloway</td>\n",
       "      <td>31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2711</th>\n",
       "      <td>joyce-exiles</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2942</th>\n",
       "      <td>lawrence-women-love</td>\n",
       "      <td>29</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                             item_id  borrower_count\n",
       "2717     joyce-portrait-artist-young              50\n",
       "2710                 joyce-dubliners              45\n",
       "4209        richardson-pointed-roofs              40\n",
       "3294  mansfield-garden-party-stories              34\n",
       "2570     isherwood-mr-norris-changes              33\n",
       "1769           forster-passage-india              33\n",
       "3292   mansfield-bliss-short-stories              31\n",
       "5582              woolf-mrs-dalloway              31\n",
       "2711                    joyce-exiles              30\n",
       "2942             lawrence-women-love              29"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uniq_borrow_book_counts = uniq_borrows.groupby('item_id').count().reset_index().rename(columns={'member_uris': 'borrower_count'}).sort_values('borrower_count', ascending=False)\n",
    "uniq_borrow_book_counts.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "id": "Rpy3zoDRCOWJ"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "19,315 unique book/person borrow events\n",
      "5,683 unique titles\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f\"\"\"{uniq_borrows.shape[0]:,} unique book/person borrow events\n",
    "{len(uniq_borrows.item_id.unique()):,} unique titles\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "id": "iAno5lPkCWax"
   },
   "outputs": [],
   "source": [
    "uniq_abundance = to_abundance(uniq_borrows.item_id)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "id": "5a7TAe_OCayn"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Statistics:\n",
      "\n",
      "F1: 2,124 (singletons)\n",
      "F2: 1,126 (doubletons)\n",
      "F3: 699\n",
      "F4: 459\n",
      "\n",
      "Seen: 5,683\n",
      "Total: 19,315\n"
     ]
    }
   ],
   "source": [
    "stats = basic_stats(uniq_abundance)\n",
    "\n",
    "print(f\"\"\"\n",
    "Statistics:\n",
    "\n",
    "F1: {stats['f1']:,} (singletons)\n",
    "F2: {stats['f2']:,} (doubletons)\n",
    "F3: {stats['f3']:,}\n",
    "F4: {stats['f4']:,}\n",
    "\n",
    "Seen: {stats['S']:,}\n",
    "Total: {stats['n']:,}\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "id": "jZRCyn_PCdzG"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "abundance_counts(uniq_abundance, trendline=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "id": "n9o_DkSDCpZa"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Sightings histogram'}, xlabel='Species'>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "abundance_histogram(uniq_abundance, trendline=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "id": "HxGvRIesDIXb"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "chao1 -> 7686.171594794905\n",
      "ichao1 -> 8168.398184995255\n",
      "ace -> 7600.631267610415\n",
      "jackknife -> 9760.0\n",
      "egghe_proot -> 8679.130291384008\n"
     ]
    }
   ],
   "source": [
    "for m in ('chao1', 'ichao1', 'ace', 'jackknife', 'egghe_proot'):\n",
    "    print(m, '->', diversity(uniq_abundance, method=m))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "id": "p8O1k67uDMzx"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "species richness: 5683\n",
      "population size: 19315\n"
     ]
    }
   ],
   "source": [
    "print('species richness:', diversity(uniq_abundance, method='empirical'))\n",
    "print('population size:', diversity(uniq_abundance, method='empirical', species=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "id": "OFKG1i5ODRsk"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.6325714466074714 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.9254834787061554 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 1.9333286904220586 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 1.0160413989797235 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 1.5863442630070494 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.6900473646383034 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.22598051253589801 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 1.5316726809178363 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.5333245966612594 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n",
      "/Users/rkoeser/workarea/env/shxco_missing_data/lib/python3.9/site-packages/copia/richness.py:530: UserWarning: Tolerance criterion not met: 0.4881026189250406 > 0.1\n",
      "  warnings.warn(f\"Tolerance criterion not met: {diff_intersect} > {tolerance}\")\n"
     ]
    }
   ],
   "source": [
    "%%capture\n",
    "results = diversity(uniq_abundance, method='minsample', CI=True, n_iter=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "diversity - minsample\n",
      "\n",
      "richness 215441.63762663765\n",
      "lci 204704.0803765804\n",
      "uci 223271.60844410848\n",
      "std 5924.265334080672\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f\"\"\"diversity - minsample\n",
    "\n",
    "richness {results['richness']}\n",
    "lci {results['lci']}\n",
    "uci {results['uci']}\n",
    "std {results['std']}\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "id": "bSjgYYOXDXyK"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "diversity - minsample\n",
      "\n",
      "richness 215441.63762663765\n",
      "x* 10.154110154110155\n",
      "n 19315\n",
      "\n"
     ]
    }
   ],
   "source": [
    "uniq_diagn = diversity(uniq_abundance, method='minsample',\n",
    "                        solver='grid', CI=False, # CI must be False for this use!\n",
    "                        diagnostics=True)\n",
    "print(f\"\"\"diversity - minsample\n",
    "\n",
    "richness {uniq_diagn['richness']}\n",
    "x* {uniq_diagn['x*']}\n",
    "n {uniq_diagn['n']}\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "id": "TlC5oAOCDcwn"
   },
   "outputs": [],
   "source": [
    "assert np.isclose(uniq_diagn['richness'],\n",
    "                  uniq_diagn['n'] + (uniq_diagn['x*'] * uniq_diagn['n']),\n",
    "                  atol=0.001)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "vh821XTtNSX3"
   },
   "source": [
    "### Re-estimate diversity/abundance but exclude uncertain titles\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 424
    },
    "id": "uCt57_S8NVCX",
    "outputId": "a5f5cfec-c723-4086-cd4a-33678b6b1425"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>title</th>\n",
       "      <th>notes</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1154</th>\n",
       "      <td>miscellaneous-pieces</td>\n",
       "      <td>Miscellaneous Pieces</td>\n",
       "      <td>Unidentified. Likely Ralph Waldo Emerson's *Mi...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1312</th>\n",
       "      <td>epictetus</td>\n",
       "      <td>Epictetus</td>\n",
       "      <td>Unidentified. By or about Epictetus.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5300</th>\n",
       "      <td>12-30-heaven</td>\n",
       "      <td>12:30 from Heaven</td>\n",
       "      <td>Unidentified. Likely Freeman Wills Crofts's [*...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5302</th>\n",
       "      <td>abc-language</td>\n",
       "      <td>ABC of Language</td>\n",
       "      <td>Unidentified. Lending library card includes th...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5303</th>\n",
       "      <td>abraham-lincoln</td>\n",
       "      <td>Abraham Lincoln</td>\n",
       "      <td>Unidentified. By or about Lincoln. Dolly Wilde...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5304</th>\n",
       "      <td>bundle-reviews</td>\n",
       "      <td>[a bundle of reviews]</td>\n",
       "      <td>Unidentified. A note on the lending library ca...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5305</th>\n",
       "      <td>certain-man</td>\n",
       "      <td>A Certain Man</td>\n",
       "      <td>Unidentified. Bryan T. Holland's *A Certain Ma...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5307</th>\n",
       "      <td>swinburne-2</td>\n",
       "      <td>A. C. Swinburne, Gosse</td>\n",
       "      <td>Unidentified. Edmund Gosse's *The Life of Alge...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5308</th>\n",
       "      <td>addison</td>\n",
       "      <td>Addison</td>\n",
       "      <td>Unidentified. By or about Joseph Addison. Lend...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5310</th>\n",
       "      <td>adventures-sir-walter</td>\n",
       "      <td>Adventures of Sir Walter Raleigh</td>\n",
       "      <td>Unidentified. In *Hemingway's Reading 1910–194...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                         id                             title  \\\n",
       "1154   miscellaneous-pieces              Miscellaneous Pieces   \n",
       "1312              epictetus                         Epictetus   \n",
       "5300           12-30-heaven                 12:30 from Heaven   \n",
       "5302           abc-language                   ABC of Language   \n",
       "5303        abraham-lincoln                   Abraham Lincoln   \n",
       "5304         bundle-reviews             [a bundle of reviews]   \n",
       "5305            certain-man                     A Certain Man   \n",
       "5307            swinburne-2            A. C. Swinburne, Gosse   \n",
       "5308                addison                           Addison   \n",
       "5310  adventures-sir-walter  Adventures of Sir Walter Raleigh   \n",
       "\n",
       "                                                  notes  \n",
       "1154  Unidentified. Likely Ralph Waldo Emerson's *Mi...  \n",
       "1312               Unidentified. By or about Epictetus.  \n",
       "5300  Unidentified. Likely Freeman Wills Crofts's [*...  \n",
       "5302  Unidentified. Lending library card includes th...  \n",
       "5303  Unidentified. By or about Lincoln. Dolly Wilde...  \n",
       "5304  Unidentified. A note on the lending library ca...  \n",
       "5305  Unidentified. Bryan T. Holland's *A Certain Ma...  \n",
       "5307  Unidentified. Edmund Gosse's *The Life of Alge...  \n",
       "5308  Unidentified. By or about Joseph Addison. Lend...  \n",
       "5310  Unidentified. In *Hemingway's Reading 1910–194...  "
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uncertain_books_df = books_df[books_df.uncertain]\n",
    "uncertain_books_df[['id', 'title', 'notes']].head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "id": "AXOwH8NMNflC"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20,316 borrows for identified titles only\n"
     ]
    }
   ],
   "source": [
    "# exclude borrow events for uncertain titles\n",
    "certain_borrows = borrows[~borrows.item_id.isin(uncertain_books_df.id)]\n",
    "print(f'{certain_borrows.shape[0]:,} borrows for identified titles only')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "id": "IDZygU73NlvI"
   },
   "outputs": [],
   "source": [
    "certainborrow_abundance = abundance = to_abundance(certain_borrows.item_id)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "id": "b3LDRUKHNsko"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Statistics:\n",
      "\n",
      "F1: 1,754 (singletons)\n",
      "F2: 1,026 (doubletons)\n",
      "F3: 649\n",
      "F4: 457\n",
      "\n",
      "Seen: 5,269\n",
      "Total: 20,316\n"
     ]
    }
   ],
   "source": [
    "stats = basic_stats(certainborrow_abundance)\n",
    "\n",
    "print(f\"\"\"\n",
    "Statistics:\n",
    "\n",
    "F1: {stats['f1']:,} (singletons)\n",
    "F2: {stats['f2']:,} (doubletons)\n",
    "F3: {stats['f3']:,}\n",
    "F4: {stats['f4']:,}\n",
    "\n",
    "Seen: {stats['S']:,}\n",
    "Total: {stats['n']:,}\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "id": "FsfEN7zmNu4o"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "abundance_counts(certainborrow_abundance, trendline=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "id": "SzGAeNq1Nuyr"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Sightings histogram'}, xlabel='Species'>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "abundance_histogram(certainborrow_abundance, trendline=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "id": "-9Dj-zIlN5Fg"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "chao1 -> 6768.203005284536\n",
      "ichao1 -> 7132.27945405853\n",
      "ace -> 6699.942174325335\n",
      "jackknife -> 8102.000000000001\n",
      "egghe_proot -> 7629.49793475749\n"
     ]
    }
   ],
   "source": [
    "for m in ('chao1', 'ichao1', 'ace', 'jackknife', 'egghe_proot'):\n",
    "    print(m, '->', diversity(certainborrow_abundance, method=m))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "id": "oRNA2e0MN-QW"
   },
   "outputs": [],
   "source": [
    "%%capture \n",
    "results = diversity(certainborrow_abundance, method='chao1', CI=True, n_iter=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "diversity - chao1\n",
      "\n",
      "richness 6768.203005284536\n",
      "lci 6615.536119136482\n",
      "uci 6918.44033015238\n",
      "std 84.94071267856879\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f\"\"\"diversity - chao1\n",
    "\n",
    "richness {results['richness']}\n",
    "lci {results['lci']}\n",
    "uci {results['uci']}\n",
    "std {results['std']}\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "id": "5ayokPTqOBTg"
   },
   "outputs": [],
   "source": [
    "results = diversity(certainborrow_abundance, method='jackknife', CI=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "diversity - jackknife\n",
      "\n",
      "richness 8102.000000000001\n",
      "lci 7771.108387372204\n",
      "uci 8432.891612627798\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f\"\"\"diversity - jackknife\n",
    "\n",
    "richness {results['richness']}\n",
    "lci {results['lci']}\n",
    "uci {results['uci']}\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "id": "o6TfpkZNOKT0"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "diversity - minsample, CI\n",
      "\n",
      "richness 201949.348033348\n",
      "x* 8.94040894040894\n",
      "n 20316\n",
      "\n"
     ]
    }
   ],
   "source": [
    "diagn = diversity(certainborrow_abundance, method='minsample',\n",
    "                        solver='grid', CI=False, # CI must be False for this use!\n",
    "                        diagnostics=True)\n",
    "print(f\"\"\"diversity - minsample, CI\n",
    "\n",
    "richness {diagn['richness']}\n",
    "x* {diagn['x*']}\n",
    "n {diagn['n']}\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "id": "sC88aes_ON_u"
   },
   "outputs": [],
   "source": [
    "assert np.isclose(diagn['richness'],\n",
    "                  diagn['n'] + (diagn['x*'] * diagn['n']),\n",
    "                  atol=0.001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "id": "NRr4pTrms18E"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 1000/1000 [00:01<00:00, 530.13it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density (KDE)'>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from copia.plot import density\n",
    "estimate = diversity(certainborrow_abundance, method='iChao1', CI=True)\n",
    "density(estimate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "id": "c_Yhh3Zzs6GF"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Density (KDE)'>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "empirical = diversity(certainborrow_abundance, method='empirical')\n",
    "density(estimate, empirical)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "id": "676ZJTx5s-JM"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 1000/1000 [00:01<00:00, 534.26it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from copia.utils import survival_ratio\n",
    "survival = survival_ratio(abundance, method='chao1')\n",
    "density(survival, xlim=(0, 1));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "id": "FmNp4JfKtA3X"
   },
   "outputs": [],
   "source": [
    "%%capture\n",
    "\n",
    "from copia.hill import hill_numbers\n",
    "emp, est = hill_numbers(abundance, n_iter=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "id": "W4FoGzKotC7n"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import copia.plot as plot\n",
    "plot.hill_plot(emp, est);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "bP691J6jWmbX"
   },
   "source": [
    "### Based on these estimates, what percent of books does the dataset include?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "id": "jNUjMoiSWneL"
   },
   "outputs": [],
   "source": [
    "certain_titles = 5269"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "id": "99OH_5PJWz-1"
   },
   "outputs": [],
   "source": [
    "# all borrow events for certain titles\n",
    "\n",
    "chao1 = 6768\n",
    "chao1_upper = 6943\n",
    "chao1_lower = 6628"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "id": "MHIYTRfUW_Vj"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "chao1\n",
      "total estimate:    6,768  (upper 6,943; lower 6,628)\n",
      "missing titles:    1,499  (upper 1,674; lower 1,359)\n",
      "percent surviving: 77.85% (upper 75.89%; lower 79.50%)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f'''chao1\n",
    "total estimate:    {chao1:,}  (upper {chao1_upper:,}; lower {chao1_lower:,})\n",
    "missing titles:    {chao1 - certain_titles:,}  (upper {chao1_upper - certain_titles:,}; lower {chao1_lower - certain_titles:,})\n",
    "percent surviving: {certain_titles/chao1 * 100:.2f}% (upper {certain_titles/chao1_upper * 100:.2f}%; lower {certain_titles/chao1_lower * 100:.2f}%)\n",
    "''')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "id": "wRoE3XHQXw7J"
   },
   "outputs": [],
   "source": [
    "jackknife = 8102\n",
    "jackknife_upper = 8432\n",
    "jackknife_lower = 7771"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "id": "q60LDuRhYrnw"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "jackknife\n",
      "percent surviving: 65.03% (upper 62.49%; lower 67.80%)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f'''jackknife\n",
    "percent surviving: {certain_titles/jackknife * 100:.2f}% (upper {certain_titles/jackknife_upper * 100:.2f}%; lower {certain_titles/jackknife_lower * 100:.2f}%)\n",
    "''')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "id": "IJ97kVE5aBfP"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.10059965634888016"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# minsample\n",
    "minsample_borrows = 201949\n",
    "actual_borrows = 20316\n",
    "actual_borrows / minsample_borrows\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "oJHKSaKebh3S"
   },
   "source": [
    "hmm, but we know we have more than 10% of borrowing activity\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "id": "D1xclzYEY16R"
   },
   "outputs": [],
   "source": [
    "# unique borrowers for certain titles\n",
    "chao1 = 6873\n",
    "chao1_upper = 6950\n",
    "chao1_lower = 6775"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "id": "X2OcKDDBY_pu"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "chao1 - unique borrows for certain titles\n",
      "\n",
      "total estimate:    6,873  (upper 6,950; lower 6,775)\n",
      "percent surviving: 76.66% (upper 75.81%; lower 77.77%)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f'''chao1 - unique borrows for certain titles\n",
    "\n",
    "total estimate:    {chao1:,}  (upper {chao1_upper:,}; lower {chao1_lower:,})\n",
    "percent surviving: {certain_titles/chao1 * 100:.2f}% (upper {certain_titles/chao1_upper * 100:.2f}%; lower {certain_titles/chao1_lower * 100:.2f}%)\n",
    "''')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "id": "ZZ90nWypZhxI"
   },
   "outputs": [],
   "source": [
    "jackknife = 8567\n",
    "jackknife_upper = 9128\n",
    "jackknife_lower = 8005"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "id": "BKvwS3wpZ5DR"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "jackknife - unique borrows for certain titles\n",
      "\n",
      "percent surviving: 61.50% (upper 57.72%; lower 65.82%)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f'''jackknife - unique borrows for certain titles\n",
    "\n",
    "percent surviving: {certain_titles/jackknife * 100:.2f}% (upper {certain_titles/jackknife_upper * 100:.2f}%; lower {certain_titles/jackknife_lower * 100:.2f}%)\n",
    "''')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "id": "Pzdw3OS8bf59"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.10712477853707922"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uniq_borrow_minsample = 189648\n",
    "actual_borrows / uniq_borrow_minsample"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Q3_FmHaUgMM3"
   },
   "source": [
    "## Compare these estimates to Beach's handwritten tally from 1931\n",
    "\n",
    "Based on a handwritten tally in the Beach papers, we know that there were 4,600 books in February 1931. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "id": "yCgnGHwcgObq"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2,874 unique titles borrowed before February 28 1931\n"
     ]
    }
   ],
   "source": [
    "from datetime import date\n",
    "\n",
    "# parse start date so we can compare\n",
    "# filter out unknown dates and unknown years\n",
    "borrows = borrows[borrows.start_date.notna()]\n",
    "borrows = borrows[~borrows.start_date.str.startswith('--')]\n",
    "borrows['start_date_dt'] = pd.to_datetime(borrows['start_date'], format='ISO8601')\n",
    "\n",
    "# get all borrows up to February 28 1931\n",
    "pretally_borrows = borrows[borrows.start_date_dt <= pd.to_datetime(date(1931, 2, 28))]\n",
    "\n",
    "# how many unique books?\n",
    "print(f\"{len(pretally_borrows.item_id.unique()):,} unique titles borrowed before February 28 1931\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "id": "BPpJVX3ngN_h"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "borrow_status\n",
       "Returned    6426\n",
       "Unknown      190\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# where the items returned?\n",
    "pretally_borrows.borrow_status.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "id": "PlaWafNyhP5A"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2809"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# what about only the books that were returned?\n",
    "len(pretally_borrows[pretally_borrows.borrow_status == 'Returned'].item_id.unique())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Group borrow events by titles and determine the last known status for each title,\n",
    "since a book may have been returned multiple times before being lost or bought."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "id": "hglAAo9_heDD"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>start_date</th>\n",
       "      <th>item_id</th>\n",
       "      <th>borrow_status</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>674</th>\n",
       "      <td>1919-11-18</td>\n",
       "      <td>wilde-profundis</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>675</th>\n",
       "      <td>1919-11-18</td>\n",
       "      <td>hardy-trumpet-major</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>673</th>\n",
       "      <td>1919-11-18</td>\n",
       "      <td>meredith-diana-crossways</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>678</th>\n",
       "      <td>1919-11-19</td>\n",
       "      <td>james-roderick-hudson</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>680</th>\n",
       "      <td>1919-11-19</td>\n",
       "      <td>hazlitt-characters-shakespeares-plays</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>683</th>\n",
       "      <td>1919-11-22</td>\n",
       "      <td>wells-passionate-friends</td>\n",
       "      <td>Unknown</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>684</th>\n",
       "      <td>1919-11-22</td>\n",
       "      <td>kipling-many-inventions</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>685</th>\n",
       "      <td>1919-11-22</td>\n",
       "      <td>james-roderick-hudson</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>686</th>\n",
       "      <td>1919-11-24</td>\n",
       "      <td>butler-pigs-pigs</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>687</th>\n",
       "      <td>1919-11-25</td>\n",
       "      <td>conrad-lord-jim</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     start_date                                item_id borrow_status\n",
       "674  1919-11-18                        wilde-profundis      Returned\n",
       "675  1919-11-18                    hardy-trumpet-major      Returned\n",
       "673  1919-11-18               meredith-diana-crossways      Returned\n",
       "678  1919-11-19                  james-roderick-hudson      Returned\n",
       "680  1919-11-19  hazlitt-characters-shakespeares-plays      Returned\n",
       "683  1919-11-22               wells-passionate-friends       Unknown\n",
       "684  1919-11-22                kipling-many-inventions      Returned\n",
       "685  1919-11-22                  james-roderick-hudson      Returned\n",
       "686  1919-11-24                       butler-pigs-pigs      Returned\n",
       "687  1919-11-25                        conrad-lord-jim      Returned"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# sort by start date\n",
    "sorted_pretally_borrows = pretally_borrows.sort_values('start_date_dt', ascending=True)\n",
    "sorted_pretally_borrows[['start_date', 'item_id', 'borrow_status']].head(10)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "id": "4FlUOmMPh4AN"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "    .dataframe tbody tr th:only-of-type {\n",
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       "      <th>borrow_status</th>\n",
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       "  <tbody>\n",
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       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>701</th>\n",
       "      <td>1919-12-01</td>\n",
       "      <td>arens-playboy-portfolio-art</td>\n",
       "      <td>Unknown</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>705</th>\n",
       "      <td>1919-12-02</td>\n",
       "      <td>webster-white-devil</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>706</th>\n",
       "      <td>1919-12-02</td>\n",
       "      <td>unclear-ile</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>713</th>\n",
       "      <td>1919-12-04</td>\n",
       "      <td>harte-idyls-foothills-prose</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>714</th>\n",
       "      <td>1919-12-04</td>\n",
       "      <td>thompson-shelley</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>719</th>\n",
       "      <td>1919-12-13</td>\n",
       "      <td>gilbert-bab-ballads</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>723</th>\n",
       "      <td>1919-12-15</td>\n",
       "      <td>harris-uncle-remus-songs</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>728</th>\n",
       "      <td>1919-12-19</td>\n",
       "      <td>eastman-colors-life-poems</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>729</th>\n",
       "      <td>1919-12-19</td>\n",
       "      <td>irwin-letters-japanese-schoolboy</td>\n",
       "      <td>Unknown</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     start_date                           item_id borrow_status\n",
       "686  1919-11-24                  butler-pigs-pigs      Returned\n",
       "701  1919-12-01       arens-playboy-portfolio-art       Unknown\n",
       "705  1919-12-02               webster-white-devil      Returned\n",
       "706  1919-12-02                       unclear-ile      Returned\n",
       "713  1919-12-04       harte-idyls-foothills-prose      Returned\n",
       "714  1919-12-04                  thompson-shelley      Returned\n",
       "719  1919-12-13               gilbert-bab-ballads      Returned\n",
       "723  1919-12-15          harris-uncle-remus-songs      Returned\n",
       "728  1919-12-19         eastman-colors-life-poems      Returned\n",
       "729  1919-12-19  irwin-letters-japanese-schoolboy       Unknown"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# drop duplicates based only on item id; keep the last entry\n",
    "pretally_borrow_laststatus = sorted_pretally_borrows.drop_duplicates(subset=['item_id'], keep='last')\n",
    "pretally_borrow_laststatus[['start_date', 'item_id', 'borrow_status']].head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "id": "hSw5M54MjNwU"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "borrow_status\n",
       "Returned    2765\n",
       "Unknown      109\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pretally_borrow_laststatus.borrow_status.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "id": "gsFW5wCFjTVU"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>start_date</th>\n",
       "      <th>item_id</th>\n",
       "      <th>borrow_status</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>686</th>\n",
       "      <td>1919-11-24</td>\n",
       "      <td>butler-pigs-pigs</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>705</th>\n",
       "      <td>1919-12-02</td>\n",
       "      <td>webster-white-devil</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>706</th>\n",
       "      <td>1919-12-02</td>\n",
       "      <td>unclear-ile</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>713</th>\n",
       "      <td>1919-12-04</td>\n",
       "      <td>harte-idyls-foothills-prose</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>714</th>\n",
       "      <td>1919-12-04</td>\n",
       "      <td>thompson-shelley</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>719</th>\n",
       "      <td>1919-12-13</td>\n",
       "      <td>gilbert-bab-ballads</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>723</th>\n",
       "      <td>1919-12-15</td>\n",
       "      <td>harris-uncle-remus-songs</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>728</th>\n",
       "      <td>1919-12-19</td>\n",
       "      <td>eastman-colors-life-poems</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>732</th>\n",
       "      <td>1919-12-20</td>\n",
       "      <td>masefield-tarpaulin-muster</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>745</th>\n",
       "      <td>1919-12-30</td>\n",
       "      <td>noguchi-american-diary-japanese</td>\n",
       "      <td>Returned</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     start_date                          item_id borrow_status\n",
       "686  1919-11-24                 butler-pigs-pigs      Returned\n",
       "705  1919-12-02              webster-white-devil      Returned\n",
       "706  1919-12-02                      unclear-ile      Returned\n",
       "713  1919-12-04      harte-idyls-foothills-prose      Returned\n",
       "714  1919-12-04                 thompson-shelley      Returned\n",
       "719  1919-12-13              gilbert-bab-ballads      Returned\n",
       "723  1919-12-15         harris-uncle-remus-songs      Returned\n",
       "728  1919-12-19        eastman-colors-life-poems      Returned\n",
       "732  1919-12-20       masefield-tarpaulin-muster      Returned\n",
       "745  1919-12-30  noguchi-american-diary-japanese      Returned"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pretally_borrow_laststatus[pretally_borrow_laststatus.borrow_status == 'Returned'][['start_date', 'item_id', 'borrow_status']].head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What is the number of books we know to have been returned before this date?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "id": "PN4-35ORjeXL"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2765"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# double check\n",
    "len(pretally_borrow_laststatus[pretally_borrow_laststatus.borrow_status == 'Returned'].item_id.unique())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What is the ratio between the returned books in the dataset and Beach's tally?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "id": "Zht_LslWjvs4"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6010869565217392"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "2765 / 4600"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "GxwRE1AJcRzL"
   },
   "source": [
    "## Run copia on the later time period\n",
    "\n",
    "We know that more of the borrowing activity from the 1930s is preserved. Do the estimates change if we run on borrowing activity after September 1932 ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 939
    },
    "id": "KN2GWI1vk9zq",
    "outputId": "2d62a22b-9ba8-45db-a3a9-be98e40ae845"
   },
   "outputs": [],
   "source": [
    "certain_borrows = borrows[~borrows.item_id.isin(uncertain_books_df.id)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 316
    },
    "id": "XU3N82sLcU36",
    "outputId": "32f729e2-f68d-4733-f7cb-77a6815e1f96"
   },
   "outputs": [
    {
     "data": {
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>start_date</th>\n",
       "      <th>end_date</th>\n",
       "      <th>date</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1922</td>\n",
       "      <td>1922-08-23</td>\n",
       "      <td>1922-08-23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1923</td>\n",
       "      <td>1923-11-07</td>\n",
       "      <td>1923-11-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1924</td>\n",
       "      <td>1924-10-22</td>\n",
       "      <td>1924-10-22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1926</td>\n",
       "      <td>1926-01-14</td>\n",
       "      <td>1926-01-14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1929</td>\n",
       "      <td>1929-03-13</td>\n",
       "      <td>1929-03-13</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   start_date    end_date        date\n",
       "2        1922  1922-08-23  1922-08-23\n",
       "8        1923  1923-11-07  1923-11-07\n",
       "13       1924  1924-10-22  1924-10-22\n",
       "22       1926  1926-01-14  1926-01-14\n",
       "38       1929  1929-03-13  1929-03-13"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def get_best_date(row):\n",
    "  # dates are strings; return the longest\n",
    "  start_date_len = len(row.start_date) if pd.notna(row.start_date) else 0\n",
    "  end_date_len = len(row.end_date) if pd.notna(row.end_date) else 0\n",
    "\n",
    "  if start_date_len > end_date_len:\n",
    "    return row.start_date\n",
    "  else:\n",
    "    return row.end_date\n",
    "\n",
    "# get either start or end date, whichever we find first\n",
    "\n",
    "certain_borrows['date'] = certain_borrows.apply(get_best_date, axis=1)\n",
    "certain_borrows[['start_date', 'end_date', 'date']].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "ayPlDmYachkZ",
    "outputId": "d564e630-a7ff-4958-fc36-9305fb3fefab"
   },
   "outputs": [],
   "source": [
    "certain_borrows['date_dt'] = pd.to_datetime(certain_borrows.date, errors='coerce')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 922
    },
    "id": "ic0nIXj9cl-R",
    "outputId": "072f0e64-41c6-46b8-e890-f448affe33e0"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>start_date</th>\n",
       "      <th>end_date</th>\n",
       "      <th>member_names</th>\n",
       "      <th>item_title</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>1934</td>\n",
       "      <td>1934-11-16</td>\n",
       "      <td>Catherine Marie Knight Peake / Mrs. Charles Pe...</td>\n",
       "      <td>James Joyce and the Making of Ulysses</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>1936</td>\n",
       "      <td>1936-12-04</td>\n",
       "      <td>Suzanne Mespoulet</td>\n",
       "      <td>Restoration Comedy, 1660 – 1720</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>1937</td>\n",
       "      <td>1937-06-01</td>\n",
       "      <td>Fernand Colens</td>\n",
       "      <td>The Friendly Tree</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>150</th>\n",
       "      <td>1937</td>\n",
       "      <td>1937-12-08</td>\n",
       "      <td>Fanny Rirachowsky</td>\n",
       "      <td>Poems</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>152</th>\n",
       "      <td>1937</td>\n",
       "      <td>1937-12-08</td>\n",
       "      <td>Fanny Rirachowsky</td>\n",
       "      <td>The Home and the World</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>153</th>\n",
       "      <td>1937</td>\n",
       "      <td>1937-12-08</td>\n",
       "      <td>Fanny Rirachowsky</td>\n",
       "      <td>Lady into Fox</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>154</th>\n",
       "      <td>1937</td>\n",
       "      <td>1937-12-08</td>\n",
       "      <td>Fanny Rirachowsky</td>\n",
       "      <td>Green Hills of Africa</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>155</th>\n",
       "      <td>1937</td>\n",
       "      <td>1937-12-08</td>\n",
       "      <td>Fanny Rirachowsky</td>\n",
       "      <td>Manhattan Transfer</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>156</th>\n",
       "      <td>1938</td>\n",
       "      <td>1938-06-23</td>\n",
       "      <td>Thérèse Bertrand-Fontaine</td>\n",
       "      <td>To Wake the Dead</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>167</th>\n",
       "      <td>1938</td>\n",
       "      <td>1938-12-06</td>\n",
       "      <td>Antoinette Bernheim</td>\n",
       "      <td>The Crock of Gold</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    start_date    end_date                                       member_names  \\\n",
       "121       1934  1934-11-16  Catherine Marie Knight Peake / Mrs. Charles Pe...   \n",
       "140       1936  1936-12-04                                  Suzanne Mespoulet   \n",
       "149       1937  1937-06-01                                     Fernand Colens   \n",
       "150       1937  1937-12-08                                  Fanny Rirachowsky   \n",
       "152       1937  1937-12-08                                  Fanny Rirachowsky   \n",
       "153       1937  1937-12-08                                  Fanny Rirachowsky   \n",
       "154       1937  1937-12-08                                  Fanny Rirachowsky   \n",
       "155       1937  1937-12-08                                  Fanny Rirachowsky   \n",
       "156       1938  1938-06-23                          Thérèse Bertrand-Fontaine   \n",
       "167       1938  1938-12-06                                Antoinette Bernheim   \n",
       "\n",
       "                                item_title  \n",
       "121  James Joyce and the Making of Ulysses  \n",
       "140        Restoration Comedy, 1660 – 1720  \n",
       "149                      The Friendly Tree  \n",
       "150                                  Poems  \n",
       "152                 The Home and the World  \n",
       "153                          Lady into Fox  \n",
       "154                  Green Hills of Africa  \n",
       "155                     Manhattan Transfer  \n",
       "156                       To Wake the Dead  \n",
       "167                      The Crock of Gold  "
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# catalog borrows ? or post 1933 ?\n",
    "# February 17 1931 to September 25 1932 (586 days)\n",
    "# let's just do after this gap\n",
    "\n",
    "from datetime import date\n",
    "\n",
    "range_start = pd.to_datetime(date(1932, 9, 26))\n",
    "\n",
    "later_borrows = certain_borrows[certain_borrows.date_dt >= range_start]\n",
    "later_borrows[['start_date', 'end_date', 'member_names', 'item_title']].head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "id": "C4k8fHWQdEBr"
   },
   "outputs": [],
   "source": [
    "later_abundance = to_abundance(later_borrows.item_id)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 539
    },
    "id": "SIPiK5HkdOBl",
    "outputId": "14a7731d-48c8-4678-df52-f63b2cf4aa53"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Distribution of sightings over species'}, xlabel='Species', ylabel='Number of sightings'>"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "abundance_counts(later_abundance, trendline=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 313
    },
    "id": "MWyTqjL8dVsh",
    "outputId": "c89ec841-fb84-4be6-f6d1-6f64ad08ccbb"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Sightings histogram'}, xlabel='Species'>"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "abundance_histogram(later_abundance)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "9-gzPVOpdfU-",
    "outputId": "e59e5eb2-98c2-4153-8a60-49ce37fc2bf3"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "chao1 -> 5167.763927102365\n",
      "ichao1 -> 5522.0812553330525\n",
      "ace -> 4863.909359421397\n",
      "jackknife -> 7264.000000000002\n",
      "egghe_proot -> 6066.362907982511\n",
      "minsample -> 165074.48591548592\n"
     ]
    }
   ],
   "source": [
    "from copia.richness import diversity\n",
    "\n",
    "later_estimates = {}\n",
    "\n",
    "for m in ('chao1', 'ichao1', 'ace', 'jackknife', 'egghe_proot', 'minsample'):\n",
    "    later_estimates[m] = diversity(later_abundance, method=m)\n",
    "    print(m, '->', later_estimates[m])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "vqPgW93qenZS",
    "outputId": "3b8fcc77-4504-4811-9796-a4f855a4af4d"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "species richness: 3592\n",
      "population size: 12959\n"
     ]
    }
   ],
   "source": [
    "print('species richness:', diversity(later_abundance, method='empirical'))\n",
    "print('population size:', diversity(later_abundance, method='empirical', species=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "E8Z81POYe5RS",
    "outputId": "44f105ca-ff7e-4510-caeb-f3bf4befb7c6"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Empirical size: 12959\n",
      "Unbiased estimate: 165074.48591548592\n"
     ]
    }
   ],
   "source": [
    "print('Empirical size:', diversity(later_abundance, method='empirical', species=False))\n",
    "print('Unbiased estimate:', diversity(later_abundance, method='minsample'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "DM6pIbZoe82L",
    "outputId": "8ec5bccb-505c-4fa3-de9f-a6af67add365"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Diff_intersect: inf\n",
      "165074.48591548592\n",
      "165074.48591548592\n"
     ]
    }
   ],
   "source": [
    "print(diversity(later_abundance, method='minsample', solver='fsolve'))\n",
    "print(diversity(later_abundance, method='minsample', solver='grid'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "q9WIzLR7fBF4",
    "outputId": "abcf6a1b-9f8e-4fbb-b174-e9504fd06c02"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'richness': 165074.48591548592, 'x*': 11.738211738211739, 'n': 12959}\n"
     ]
    }
   ],
   "source": [
    "diagn = diversity(later_abundance, method='minsample',\n",
    "                        solver='grid', CI=False, # CI must be False for this use!\n",
    "                        diagnostics=True)\n",
    "print(diagn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 265
    },
    "id": "0lM-O7IvgG75",
    "outputId": "11b2c8ba-29fe-44e7-fdc9-d471487f14cc"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "empirical = diversity(later_abundance, method='empirical')\n",
    "density(estimate, empirical);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "q3Ur7Js9gIYT",
    "outputId": "1453b63b-0896-435c-8d25-cfd5a4e297a6"
   },
   "outputs": [],
   "source": [
    "%%capture\n",
    "emp, est = hill_numbers(later_abundance, n_iter=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 294
    },
    "id": "1mewdGOQgSu1",
    "outputId": "70c087af-8410-46c6-bd8e-a4a3aa34443b"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.hill_plot(emp, est);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "H07BB4U7h76c",
    "outputId": "0321cba7-6eae-45b1-d4f3-41abc8acb290"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3592"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# what percent do these numbers give us for this time period?\n",
    "later_period_items = len(later_borrows.item_id.unique())\n",
    "later_period_items"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "5VhMzhEniD8w",
    "outputId": "6a221924-3335-464d-8816-5d5f44f9db18"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "chao1 : 69.51%\n",
      "ichao1 : 65.05%\n",
      "ace : 73.85%\n",
      "jackknife : 49.45%\n",
      "egghe_proot : 59.21%\n",
      "minsample : 2.18%\n"
     ]
    }
   ],
   "source": [
    "# estimates = {\n",
    "# 'chao1':  5177.974780621821,\n",
    "# 'ichao1': 5533.397781689817,\n",
    "# 'ace': 4877.040161073133,\n",
    "# 'jackknife': 7281.000000000002,\n",
    "# 'egghe_proot': 6075.0994294919265,\n",
    "# }\n",
    "\n",
    "for algo, est in later_estimates.items():\n",
    "  print('%s : %.2f%%' % (algo, later_period_items / est * 100))\n"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "authorship_tag": "ABX9TyPjysy39w6TdDYA8O0y7/2v",
   "include_colab_link": true,
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
